Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

9. -/1 points a 4.4 - g bullet leaves the muzzle of a rifle with a spee…

Question

  1. -/1 points a 4.4 - g bullet leaves the muzzle of a rifle with a speed of 330 m/s. what force (assumed constant) is exerted on the bullet while it is traveling down the 0.77 - m - long barrel of the rifle? n resources read it

Explanation:

Step1: Convert mass to SI unit

The mass of the bullet $m = 4.4\ g=4.4\times10^{- 3}\ kg$.

Step2: Use the kinematic - equation $v^{2}=v_{0}^{2}+2ax$

The bullet starts from rest, so $v_{0} = 0\ m/s$, $v = 330\ m/s$ and $x = 0.77\ m$.
We can solve for the acceleration $a$:

$$ LATEXBLOCK0 $$

Step3: Use Newton's second - law $F = ma$

$$ LATEXBLOCK1 $$

Answer:

$311.14$